Stochastic Small-Signal Stability of Power Systems With Wind Power Generation

Wind power has had a significant impact on power system stability due to its stochastic nature. In this paper, the impact of stochastic excitation on power-system small-signal stability is investigated based on stochastic differential equation (SDE) theory. The mechanical power input of an asynchron...

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Bibliographic Details
Published in:IEEE transactions on power systems 2015-07, Vol.30 (4), p.1680-1689
Main Authors: Yuan, Bo, Zhou, Ming, Li, Gengyin, Zhang, Xiao-Ping
Format: Article
Language:English
Subjects:
Asynchronous wind turbine
Indium tin oxide
Ito formula
Ito integral
Mathematical model
Numerical stability
Power system stability
Stability criteria
stochastic differential equation (SDE)
stochastic mechanical power
Stochastic processes
stochastic small-signal stability
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Summary:Wind power has had a significant impact on power system stability due to its stochastic nature. In this paper, the impact of stochastic excitation on power-system small-signal stability is investigated based on stochastic differential equation (SDE) theory. The mechanical power input of an asynchronous wind turbine is considered as a stochastic excitation to the system and the system state equation is formulated based on SDE. The mean stability and mean square stability of such a system are demonstrated, and the steady-state expectation and covariance of the system state variables are obtained by mathematical deduction. The numerical simulations are presented on a two-machine infinite bus system and the IEEE 145-bus test system.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2014.2353014